On the convergence of greedy approximants of trigonometric Fourier series

DOI10.1134/S0081543809050137zbMath1312.42006OpenAlexW2065906894MaRDI QIDQ2347528

Sergei V. Konyagin

Publication date: 27 May 2015

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0081543809050137

zbMATH Keywords

trigonometric Fourier seriesgreedy approximations

Mathematics Subject Classification ID

Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Convergence and absolute convergence of Fourier and trigonometric series (42A20) Summability in several variables (42B08)

Cites Work

• Hardy's inequality and the \(L^ 1\) norm of exponential sums
• Greedy algorithm and \(m\)-term trigonometric approximation
• Nonlinear methods of approximation
• Convergence and Divergence of Decreasing Rearranged Fourier Series
• Convergence of greedy approximation II. The trigonometric system

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